Legal claims defining the scope of protection, as filed with the USPTO.
1. A method, comprising: accessing, by an interpolation engine running on a computing device, a set of combined input data comprising a set of predetermined input data and a set of interpolated input data, the set of interpolated input data being generated to conformally map the set of combined input data to a set of target output data and comprising a set of variables; performing, by the interpolation engine, a variational analysis on at least a first variable in the set of variables, wherein the variational analysis comprises applying a perturbation to the at least first variable; determining a change in at least one remaining variable in the set of variables caused by the variational analysis performed on the at least first variable; and applying a set of validation rules to the change in the at least one remaining variable to validate or reject a value of the at least first variable.
2. The method of claim 1 , wherein the variational analysis comprises a Monte Carlo simulation performed on the at least first variable.
3. The method of claim 2 , wherein the perturbation is a random perturbation, and wherein the Monte Carlo simulation comprises applying the random perturbation to the at least first variable.
4. The method of claim 3 , wherein the random perturbation comprises an increase or decrease in the at least first variable based on a randomization range.
5. The method of claim 4 , wherein the set of validation rules comprises a limit to the change in the at least one of the remaining variables.
6. The method of claim 5 , wherein the limit to the change in the at least one of the remaining variables comprises a function of the randomization range.
7. The method of claim 1 , further comprising repeating the variational analysis on the remainder of the variables in the set of interpolated input data.
8. The method of claim 7 , further comprising repeating the determining a change in at least one of the remaining variables in the set of variables in the set of interpolated input data caused by variational analysis performed on the remainder of the variables in the set of interpolated input data.
9. The method of claim 8 , further comprising storing changed variables caused by the variational analysis across all variables in the set of interpolated input data to generate a set of Monte Carlo interpolation results.
10. The method of claim 1 , wherein the set of predetermined input data comprises at least one of a set of financial data, a set of medical data, a set of demographic data, a set of engineering data, a set of network operations data, or a set of geographic data.
11. A system, comprising: an interface to a database storing a set of target output data and a set of combined input data, the set of combined input data comprising— a set of predetermined input data, and a set of interpolated input data, the set of interpolated input data being generated to conformally map the set of combined input data to the set of target output data and comprising a set of variables; and a processor, communicating with the database via the interface, the processor being configured to— access the set of combined input data, perform a variational analysis on at least a first variable in the set of variables, wherein the variational analysis comprises applying a perturbation to the at least first variable, determine a change in at least one remaining variable in the set of variables caused by the variational analysis performed on the at least first variable, and apply a set of validation rules to the change in the at least one remaining variable to validate or reject the value of the at least first variable.
12. The system of claim 11 , wherein the variational analysis comprises a Monte Carlo simulation performed on the at least first variable.
13. The system of claim 12 , wherein the perturbation is a random perturbation, and wherein the Monte Carlo simulation comprises applying the random perturbation to the at least first variable.
14. The system of claim 13 , wherein the random perturbation comprises an increase or decrease in the at least first variable based on a randomization range.
15. The system of claim 14 , wherein the set of validation rules comprises a limit to the change in the at least one of the remaining variables.
16. The system of claim 15 , wherein the limit to the change in the at least one of the remaining variable comprises a function of the randomization range.
17. The system of claim 11 , wherein the processor is further configured to repeat the variational analysis on the remainder of the variables in the set of interpolated input data.
18. The system of claim 17 , wherein the processor is further configured to repeat the determining a change in at least one of the remaining variables in the set of variables in the set of interpolated input data caused by the variational analysis performed on the remainder of the variables in the set of interpolated input data.
19. The system of claim 18 , wherein the processor is further configured to store changed variables caused by the variational analysis across all variables in the set of interpolated input data to generate a set of Monte Carlo interpolation results.
20. The system of claim 11 , wherein the set of predetermined input data comprises at least one of a set of financial data, a set of medical data, a set of demographic data, a set of engineering data, a set of network operations data, or a set of geographic data.
21. A non-transitory computer readable medium having instructions that, when executed by a computing device, cause the computing device to perform a method comprising: accessing, by an interpolation engine running on the computing device, a set of combined input data comprising a set of predetermined input data and a set of interpolated input data, the set of interpolated input data being generated to conformally map the set of combined input data to a set of target output data and comprising a set of variables; performing, by the interpolation engine, a variational analysis on at least a first variable in the set of variables, wherein the variational analysis comprises applying a perturbation to the at least first variable; determining a change in at least one remaining variable in the set of variables caused by the variational analysis performed on the at least first variable; and applying a set of validation rules to the change in the at least one remaining variable to validate or reject a value of the at least first variable.
22. The non-transitory computer readable medium of claim 21 , wherein the perturbation is a random perturbation, and wherein the variational analysis comprises a Monte Carlo simulation performed on the at least first variable using the random perturbation of the at least first variable.
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October 16, 2012
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